Define f(x) = 2 – 3x? What is the domain of this function? (-00, 2) (-00, 2] [-3, 0) (-x0, 0) [0, 0)
Define f(x) = 2 – 3x? What is the domain of this function? (-00, 2) (-00, 2] [-3, 0) (-x0, 0) [0, 0)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Concept explainers
Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
Question
![**Understanding Function Domains**
**Function Definition:**
\[ f(x) = 2 - 3x^2 \]
**Question:**
What is the domain of this function?
**Options:**
1. \((-∞, 2)\)
2. \((-∞, 2]\)
3. \([-3, ∞)\)
4. \((-∞, ∞)\)
5. \([0, ∞)\)
In this problem, you need to determine the domain of the function \( f(x) = 2 - 3x^2 \). The domain of a function consists of all possible input values (x-values) for which the function is defined.
Since the given function is a quadratic polynomial \( f(x) = 2 - 3x^2 \), it is defined for all real numbers. Therefore, the correct choice is the fourth option:
\(\boxed{(-∞, ∞)}\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe91e659-0274-4af0-b893-ea272a52ff02%2F16a5a779-ac33-47f3-ad9c-4ec87b8db70d%2F4c2ukta_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Understanding Function Domains**
**Function Definition:**
\[ f(x) = 2 - 3x^2 \]
**Question:**
What is the domain of this function?
**Options:**
1. \((-∞, 2)\)
2. \((-∞, 2]\)
3. \([-3, ∞)\)
4. \((-∞, ∞)\)
5. \([0, ∞)\)
In this problem, you need to determine the domain of the function \( f(x) = 2 - 3x^2 \). The domain of a function consists of all possible input values (x-values) for which the function is defined.
Since the given function is a quadratic polynomial \( f(x) = 2 - 3x^2 \), it is defined for all real numbers. Therefore, the correct choice is the fourth option:
\(\boxed{(-∞, ∞)}\)
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